213103313004101 has 8 divisors (see below), whose sum is σ = 229775407680504. Its totient is φ = 196471151490240.

The previous prime is 213103313004059. The next prime is 213103313004143. The reversal of 213103313004101 is 101400313301312.

It is an interprime number because it is at equal distance from previous prime (213103313004059) and next prime (213103313004143).

It can be written as a sum of positive squares in 4 ways, for example, as 3836016030625 + 209267296973476 = 1958575^2 + 14466074^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213103313004101 - 2³⁰ = 213102239262277 is a prime.

It is a super-3 number, since 3×213103313004101³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103313004401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9983279546 + ... + 9983300891.

It is an arithmetic number, because the mean of its divisors is an integer number (28721925960063).

Almost surely, 2^{213103313004101} is an apocalyptic number.

It is an amenable number.

213103313004101 is a deficient number, since it is larger than the sum of its proper divisors (16672094676403).

213103313004101 is a wasteful number, since it uses less digits than its factorization.

213103313004101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966581271.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 213103313004101 its reverse (101400313301312), we get a palindrome (314503626305413).

The spelling of 213103313004101 in words is "two hundred thirteen trillion, one hundred three billion, three hundred thirteen million, four thousand, one hundred one".